A Mennonite family, Moser was numerous among the Mennonites in Switzerland, both in the Emmental and the Bernese Jura. From Switzerland many of the Moser family, because of oppression or hardships, moved to Germany (Palatinate) and Alsace. From Courtelary, France, a Moser family immigrated to America in 1754. Others, mostly from Alsace, also settled in the United States in the early 19th century. In the Palatinate the Mosers never were numerous. The Dutch [[Naamlijst der tegenwoordig in dienst zijnde predikanten der Mennoniten
in de Vereenigde Nederlanden|Naamlijst]] names Peter Moser (Mosser) as an elder of the Bockschaft congregation in 1757, and Christian Moser (d. 1789 or 90) as a preacher (before 1769) and an elder of the Rheingrafenstein congregation (after 1782) near Kreuznach. Nicolaus Moser, an elder of the Friedersmatt congregation in Switzerland tried in vain to prevent the schism between the Amish and the Reist groups, writing a letter to the Mennonites in Holland in 1709 describing his desire for reunification.

In North America there are many members of the Moser family. Abraham J. Moser published a paper, "Aus dem Leben der Schweizer Mennoniten" in Christlicher Bundesboteon 1 August 1885. John Moser (1826-1908) was chosen minister in 1853 and bishop in 1864 of the Putnam County congregation where he served his pastorate for over 50 years. The name Musser is most likely a variant of Moser.